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math.CV2021
Twisted Nakano-Positivity of Fields of Hilbert Spaces
El Mehdi Ainasse
In a previous article (arXiv:2111.03143), we generalized Berndtsson's Nakano-positivity by retaining the same consequences under weaker hypotheses. In this article, we propose to f…
math.CV2021
A Twisted Complex Brunn-Minkowski Theorem
El Mehdi Ainasse
In his Annals of Mathematics paper (2009), Berndtsson proves an important result on the Nakano positivity of holomorphic infinite-rank vector bundles whose fibers are Hilbert space…